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Presented in this paper is an analysis of the body of scholarly work that attempts to apply
Thomas Kuhn’s theory of scientific revolutions to mathematics. These applications vary on
several levels, from the authors’ interpretation of Kuhn’s original work to the definitions
used for terms such as paradigm, revolution, and mathematics. The number of these works
combined with their variety makes it difficult to grasp the whole of the literature. This paper
is an attempt to consolidate and streamline this information in order to facilitate further
research on the subject. This analysis makes it clear that Kuhn’s theory can be successfully
applied to mathematics in a way that provides an accurate view of the growth of
mathematical knowledge.